Topic
Conserved current
About: Conserved current is a research topic. Over the lifetime, 513 publications have been published within this topic receiving 10615 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this article, a unified field theory of mesons and their particle sources is proposed and considered in its classical aspects, which has static solutions of a singular nature, but finite energy,characterized by spin directions.
Abstract: A unified field theory of mesons and their particle sources is proposed and considered in its classical aspects. The theory has static solutions of a singular nature, but finite energy,characterized by spin directions; the number of such entities is a rigorously conserved constant of motion; they interact with an external meson field through a derivative-type coupling with the spins, akin to the formalism of strong-coupling meson theory. There is a conserved current identifiable with isobaric spin, and another that may be related to hyper-charge. The postulates include one constant of the dimensions of length, and another that is conjectured necessarily to have the value ђc , or perhaps ½ ђc , in the quantized theory.
2,418 citations
TL;DR: In this article, the authors studied the constraints imposed by the existence of a single higher spin conserved current on a three-dimensional conformal field theory and showed that the correlation functions of the stress tensor and the conserved currents are equal to those of a free field theory.
Abstract: We study the constraints imposed by the existence of a single higher spin conserved current on a three-dimensional conformal field theory (CFT). A single higher spin conserved current implies the existence of an infinite number of higher spin conserved currents. The correlation functions of the stress tensor and the conserved currents are then shown to be equal to those of a free field theory. Namely a theory of N free bosons or free fermions. This is an extension of the Coleman–Mandula theorem to CFT’s, which do not have a conventional S-matrix. We also briefly discuss the case where the higher spin symmetries are ‘slightly’ broken.This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Higher spin theories and holography’.
668 citations
TL;DR: In this paper, the authors study the problem of finding exactly marginal deformations of superconformal field theories in four dimensions and show that the only way a marginal chiral operator can become not exactly marginal is for it to combine with a conserved current multiplet.
Abstract: We study the problem of finding exactly marginal deformations of \( \mathcal{N} = 1 \) superconformal field theories in four dimensions. We find that the only way a marginal chiral operator can become not exactly marginal is for it to combine with a conserved current multiplet. Additionally, we find that the space of exactly marginal deformations, also called the “conformal manifold,” is the quotient of the space of marginal couplings by the complexified continuous global symmetry group. This fact explains why exactly marginal deformations are ubiquitous in \( \mathcal{N} = 1 \) theories. Our method turns the problem of enumerating exactly marginal operators into a problem in group theory, and substantially extends and simplifies the previous analysis by Leigh and Strassler. We also briefly discuss how to apply our analysis to \( \mathcal{N} = 2 \) theories in three dimensions.
265 citations
1 Jan 1976
250 citations
TL;DR: In this article, the authors studied the model of (2 + 1)-dimensional relativistic fermions in a random non-Abelian gauge potential at criticality.
203 citations
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Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 1 |
| 2023 | 6 |
| 2022 | 29 |
| 2021 | 25 |
| 2020 | 14 |
| 2019 | 17 |